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Finding the Third Proportional to 277,040 and 597,820

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Solution

The third proportional to 277,040 and 597,820 is: 1,290,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,040 : 597,820 = 597,820 : x
  2. Step 2: Convert to fraction form
    277,040/597,820 = 597,820/x
  3. Step 3: Cross multiply
    277,040x = 597,820 × 597,820
  4. Step 4: Simplify right side
    277,040x = 357,388,752,400
  5. Step 5: Solve for x
    x = 357,388,752,400/277,040
  6. Step 6: Final answer
    x = 1,290,025.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.